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3 years ago

For the given cost function C(x), find the oblique asymptote of the average cost function C(X), C(x)=14,000+94x+0.03x^2

1 answer:

5 0

Answer: y = 0.03x + 94

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Explanation:

Lets define A(x) to be the average cost function where
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)

Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify

If x were to head off to infinity, then the portion 14000/x approaches 0.

So this is why the oblique asymptote is y = 0.03x + 94

Basically, in the long run, the average cost will approach y = 0.03x + 94

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Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

o-na [289]

Answer:

$\sqrt{2} a$

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression $\sqrt{(x1-x2)^2+(y1-y2)^2}$

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

$distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a$

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Digiron [165]

Answer:

What do we start a convo or an argumnet about...and why?

Step-by-step explanation:

but heres one : Donald Trump or Biden?

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The mathematical expression 9€ T means

Kaylis [27]

Answer:

Given mathematical expression means that '9 is a member of the set T'.

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We are given the mathematical expression,

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2 years ago

Find, if it exists, a value c in the interval [1, 4] such that the instantaneous rate of change of f(x) = 12<img src="https://te

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Answer:

c = 2.25

Step-by-step explanation:

f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.

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Carnival M charges an entrance fee of $5.00 and $0.50 per ticket for rides. Carnival P charges and entrance fee of $7.00 and $0.

Kryger [21]

For both Carnivals to have the same cost, 10 tickets will have to be purchased.

Carnival M :

Entrance fee = $5.00

Cost per ticket = $0.50

Carnival P :

Entrance fee = $7.00

Cost per ticket = $0.30

Let the Number of ticket = n

Cost of n Carnival M tickets :

5 + 0.50n - - - (1)

Cost of n Carnival P tickets :

7 + 0.30n - - - (2)

Value of n in other to have the same price :

(1) = (2)

5 + 0.50n = 7 + 0.30n

Collect like terms

0.50n - 0.30n = 7 - 5

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n = 2 / 0.20

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Therefore, 10 tickets has to be purchased for both Carnivals to have the same cost.

Learn more : brainly.com/question/18796573

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